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Finding the Third Proportional to 4,849.88 and 7,315.31

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Solution

The third proportional to 4,849.88 and 7,315.31 is: 11,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.88 : 7,315.31 = 7,315.31 : x
  2. Step 2: Convert to fraction form
    4,849.88/7,315.31 = 7,315.31/x
  3. Step 3: Cross multiply
    4,849.88x = 7,315.31 × 7,315.31
  4. Step 4: Simplify right side
    4,849.88x = 53,513,796.97
  5. Step 5: Solve for x
    x = 53,513,796.97/4,849.88
  6. Step 6: Final answer
    x = 11,034.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.